[填空题]
A conical tank is being filled with water. The; qgueu,r; q53nddjp6 dimensions of t0oyo/ n3p6 ee skal.,khe tank are shown in the.o0k/n oes3kle,p a y6 following diagram.
1.Show that an expression for the volume, V, in the tank in terms of the water level height, h, is
$V=\frac{\pi h^{3}}{27}$
2. The tank is being filled at a rate of 1 $\mathrm{~m}^{3} \mathrm{~min}^{-1}$ . Find the rate of change of the water height h at the instant when the water level is 2 $\mathrm{~m}$ high.
the water level height is rising at a rate of m/min(Omit to three decimal places)
